It can be done by a plugin but it will be complicated. You will need to write a new action and write all the custom code yourself to do the copy work.
If you want the user to modify the property with a UI dialog first, you can add a new menu action. When user click this action menu, you can make it will show the property modification dialog(maybe also with the target folder selection in it) to the user. After the modification, user can click OK button and your custom action code can be executed to copy the document to the target folder.
Thanks,
Jason
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